Online GCD Calculator is useful to find the GCD of 735, 112, 987, 790 quickly. Get the easiest ways to solve the greatest common divisor of 735, 112, 987, 790 i.e 1 in different methods as follows.
Given Input numbers are 735, 112, 987, 790
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
GCD of numbers is the greatest common divisor
So, the GCD (735, 112, 987, 790) = 1.
Given numbers are 735, 112, 987, 790
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 987 are 3 x 7 x 47
Prime factors of 790 are 2 x 5 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 112, 987, 790
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 112) = 11760
GCD(735, 112) = ( 735 x 112 ) / 11760
= 735 / 112
= 735
Step2:
LCM(7, 987) = 987
GCD(7, 987) = ( 7 x 987 ) / 987
= 7 / 987
= 7
Step3:
LCM(7, 790) = 5530
GCD(7, 790) = ( 7 x 790 ) / 5530
= 7 / 790
= 7
So, Greatest Common Divisor of 735, 112, 987, 790 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 112, 987, 790
The greatest common divisor of numbers 735, 112, 987, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 112, 987, 790 is 1.
1. What is the GCD of 735, 112, 987, 790?
GCD of given numbers 735, 112, 987, 790 is 1
2. How to calculate the greatest common divisor of 735, 112, 987, 790?
We can find the highest common divisor of 735, 112, 987, 790 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 735, 112, 987, 790 i.e 1.
3. How can I use the GCD of 735, 112, 987, 790Calculator?
Out the numbers 735, 112, 987, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.